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If sin^-1(x/5) + cosec^-1(5/4)= pi/2, th...

If `sin^-1(x/5) + cosec^-1(5/4)= pi/2`, then a value of x is

A

3

B

4

C

5

D

1

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. The number of solutions of the pair of equations: 2 sin^2 theta- cos 2...

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  2. If p and q are positive real numbers such that p^2+ q^2=1, then the m...

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  3. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

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  4. AB is a vertical pole with B at the ground level and A at the top. A m...

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  5. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

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  6. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

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  7. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

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  8. For a regular polygon, let r and R be the radii of the inscribed and t...

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  9. If the angles A, B and C of a triangle are in an arithmetic progressio...

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  10. Let ABC be a triangle such that angle ABC =pi/6. If a, b and c denote ...

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  11. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

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  12. If A=sin^(2)x+cos^(4)x, then for all real x

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  13. The possible values of theta in (0,pi) such that sin (theta)+sin(4 th...

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  14. Prove that 3/4 le cos^2 theta +sin^4 thetale1. Hence deduce that 3/4 l...

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  15. Prove that : (2 cos 2^n theta +1)/(2cos theta +1)= (2cos theta-1)(2cos...

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  16. Prove that tan alpha+2tan 2 alpha+4 tan 4 alpha+ 8 cos 8 alpha=cot a...

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  17. Solve: 2 (cos x + cos 2x) + sin 2x (1 + 2 cos (x))=2 sinx,-pi le x le ...

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  18. Find the values of x in (-pi, pi), which satisfy the equation : 8^(1+|...

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  19. If p tan theta = tan p theta, then show that : (sin^2 p theta)/(sin^2 ...

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  20. If a+b+c=0, then what is the value of a^2/(bc)+b^2/(ca)+c^2/(ab)

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